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Equation 5 · Part 2 · Measuring Claude Code and Agentic Development Tools: Evidence, Benchmarks, and Uncertainty

Symbol n

SE(p^)=p^(1−p^)n.\mathrm{SE}(\hat p) = \sqrt{\frac{\hat p (1 - \hat p)}{n}}.
nn

What this part means

n occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Its job in the formula

n occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

The passage around this formula

That instability is worth making precise rather than gesturing at. If a benchmark of n instances is treated as n independent Bernoulli trials with true resolve probability p , the standard error of the observed proportion p^\hat p is SE(p^)=p^(1−p^)n\mathrm{SE}(\hat p) = \sqrt{\frac{\hat p (1 - \hat p)}{n}}. For n = 500 and p^\hat p near one half, this is on the order of two percentage points — before accounting for the additional variance…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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